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Various notions of non-malleable secret sharing schemes have been considered. In this paper, we review the existing work on non-malleable secret sharing and suggest a novel game-based definition. We provide a new construction of an…

Cryptography and Security · Computer Science 2023-05-17 Shannon Veitch , Douglas R. Stinson

Non-malleable codes (NMCs) protect sensitive data against degrees of corruption that prohibit error detection, ensuring instead that a corrupted codeword decodes correctly or to something that bears little relation to the original message.…

Discrete Mathematics · Computer Science 2016-02-10 Divesh Aggarwal , Jop Briët

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

A (k,n)-threshold secret-sharing scheme allows for a string to be split into n shares in such a way that any subset of at least k shares suffices to recover the secret string, but such that any subset of at most k-1 shares contains no…

Quantum Physics · Physics 2017-12-06 Yingkai Ouyang , Si-Hui Tan , Liming Zhao , Joseph F. Fitzsimons

Security of the three-party quantum secret sharing (QSS) schemes based on entanglement and a collective eavesdropping check is analyzed in the case of considerable quantum channel losses. An opaque attack scheme is presented for the…

Quantum Physics · Physics 2007-05-23 Fu-Guo Deng , Xi-Han Li , Hong-Yu Zhou

Consider the communication efficient secret sharing problem. A dealer wants to share a secret with $n$ parties such that any $k\leq n$ parties can reconstruct the secret and any $z<k$ parties eavesdropping on their shares obtain no…

Information Theory · Computer Science 2020-02-11 Rawad Bitar , Sidharth Jaggi

We investigate the concept of quantum secret sharing. In a ((k,n)) threshold scheme, a secret quantum state is divided into n shares such that any k of those shares can be used to reconstruct the secret, but any set of k-1 or fewer shares…

Quantum Physics · Physics 2009-10-31 Richard Cleve , Daniel Gottesman , Hoi-Kwong Lo

We introduce the notion of "non-malleability" of a quantum state encryption scheme (in dimension d): in addition to the requirement that an adversary cannot learn information about the state, here we demand that no controlled modification…

Quantum Physics · Physics 2017-08-01 Andris Ambainis , Jan Bouda , Andreas Winter

The efficacies of maximally and that of non-maximally entangled mixed states as teleportation channels have been studied. A new class of non-maximally entangled mixed states have been proposed also. Their advantages as quantum teleportation…

Quantum Physics · Physics 2020-07-22 Sovik Roy

This paper presents a prepare-and-measure scheme using $N$-dimensional quantum particles as information carriers where $N$ is a prime power. One of the key ingredients used to resist eavesdropping in this scheme is to depolarize all Pauli…

Quantum Physics · Physics 2016-11-17 H. F. Chau

We propose a new quantum secret sharing scheme using a single non-entangled qubit. In the scheme, by transmitting a qubit to the next party sequentially, a sender can securely transmit a secret message to $N$ receivers who could only decode…

Quantum Physics · Physics 2015-06-26 Yun Jin Choi , Young-Jai Park , Chil-Min Kim , Jaewan Kim

A resilient secret sharing scheme is supposed to generate the secret correctly even after some shares are damaged. In this paper, we show how quantum error correcting codes can be exploited to design a resilient quantum secret sharing…

Quantum Physics · Physics 2015-02-02 Arpita Maitra , Goutam Paul

In this work, we present a quantum secret sharing scheme based on Bell state entanglement and sequential projection measurements. The protocol verifies the $n$ out of $n$ scheme and supports the aborting of the protocol in case all the…

Quantum Physics · Physics 2020-08-17 Farhan Musanna , Sanjeev Kumar

In this paper we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under {\em restricted local operation and classical communication}. Based on this local distinguishability analysis we…

Quantum Physics · Physics 2015-05-19 Ramij Rahaman , Matthew G. Parker

We propose a scheme by which two parties can secretely and simultaneously exchange messages. The scheme requires the two parties to share entanglement and both to perform Bell-state measurements. Only two out of the four Bell states are…

Quantum Physics · Physics 2009-11-11 Sung Soon Jang , Hai-Woong Lee

In the splitting model, information theoretic authentication codes allow non-deterministic encoding, that is, several messages can be used to communicate a particular plaintext. Certain applications require that the aspect of secrecy should…

Cryptography and Security · Computer Science 2011-12-02 Michael Huber

We propose a new scheme for quantum secret sharing (QSS) that uses a modulated high-dimensional time-bin entanglement. By modulating the relative phase randomly by {0,pi}, a sender with the entanglement source can randomly change the sign…

Quantum Physics · Physics 2009-11-13 Hiroki Takesue , Kyo Inoue

One of the applications of quantum technology is to use quantum states and measurements to communicate which offers more reliable security promises. Quantum data hiding, which gives the source party the ability of sharing data among…

Quantum Physics · Physics 2018-04-06 Xingyao Wu , Jianxin Chen

In search of a quantum key distribution scheme that could stand up for more drastic eavesdropping attack, I discover a prepare-and-measure scheme using $N$-dimensional quantum particles as information carriers where $N$ is a prime power.…

Quantum Physics · Physics 2007-05-23 H. F. Chau

Quantum communication in general helps deter potential eavesdropping in the course of transmission of bits to enable secure communication between two or more parties. In this paper, we propose a novel quasi-deterministic secure quantum…

Quantum Physics · Physics 2021-03-08 Sujan Vijayaraj , S. Balakrishnan , K. Senthilnathan